The number 24321
24321 is a composite number with 12 divisors. Its prime factorisation is 3 × × 67. Divisors (12): 1, 3, 11, 33, 67, 121, 201, 363, 737, 2211, 8107, 24321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24321 is composite. Its prime factorisation is
- 3
The divisors add up to 36176; without 24321 itself that is 11855, so 24321 is deficient (11855 is less than 24321). Euler's totient φ(24321) = 14520 numbers up to 24321 share no factor with it.
- 4
The digits of 24321 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24321 = 3 \times 11^{2} \times 67 \]24321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36176 |
| Euler totient φ(n) | 14520 |
| Square | 591511041 |
| Cube | 14386140028161 |
| Square root | 155.951916 (= 11√201) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4321 × |
24321 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and twenty-one |
| Binary (base 2) | 101111100000001 |
| Octal (base 8) | 57401 |
| Hexadecimal (base 16) | 5F01 |
| Base 3 | 1020100210 |
| As time | 24321 seconds = 6 h 45 min 21 s |
Is 24321 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24321 ÷ 3 = 8107) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24321 ÷ 11 = 2211) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24321 a prime number?
No. 24321 = 3 × × 67, so it is divisible by 3.
What are the factors of 24321?
1, 3, 11, 33, 67, 121, 201, 363, 737, 2211, 8107, 24321.
What is 24321 in binary?
101111100000001 (hexadecimal 5F01, octal 57401).
What is the square root of 24321?
About 155.9519, exactly 11√201.
Is 24321 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24321?
It is a composite number with 12 divisors.